This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A198579 #9 Apr 23 2025 12:47:17 %S A198579 1,5,4,8,5,3,6,9,5,2,6,1,0,6,5,6,1,2,6,2,4,3,1,2,2,5,4,1,2,4,9,3,6,9, %T A198579 7,5,0,3,3,9,8,3,9,3,5,1,5,4,9,5,1,1,8,0,7,3,0,4,5,8,0,8,1,5,3,3,6,7, %U A198579 2,6,1,6,6,3,3,6,6,1,5,2,6,9,0,0,6,0,6,0,1,7,7,9,0,8,8,4,1,9,0 %N A198579 Decimal expansion of x>0 satisfying 3*x^2-4x=sin(x). %C A198579 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198579 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198579 1.5485369526106561262431225412493697503398393... %t A198579 a = 3; b = -4; c = 1; %t A198579 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198579 Plot[{f[x], g[x]}, {x, -.2, 2}] %t A198579 r = x /. FindRoot[f[x] == g[x], {x, 1.54, 1.55}, WorkingPrecision -> 110] %t A198579 RealDigits[r] (* A198579 *) %Y A198579 Cf. A198414. %K A198579 nonn,cons %O A198579 1,2 %A A198579 _Clark Kimberling_, Oct 27 2011